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Finding the Third Proportional to 231,716 and 507,714

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Solution

The third proportional to 231,716 and 507,714 is: 1,112,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,716 : 507,714 = 507,714 : x
  2. Step 2: Convert to fraction form
    231,716/507,714 = 507,714/x
  3. Step 3: Cross multiply
    231,716x = 507,714 × 507,714
  4. Step 4: Simplify right side
    231,716x = 257,773,505,796
  5. Step 5: Solve for x
    x = 257,773,505,796/231,716
  6. Step 6: Final answer
    x = 1,112,454.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.